Journal of the military operations research society of Korea (한국국방경영분석학회지)
- Volume 9 Issue 2
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- Pages.39-43
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- 1983
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- 1229-9898(pISSN)
Likelihood Function of Order Statistic with a Weibull Distribution
와이벌분포를 갖는 순위설계량의 우도함수
Abstract
In this paper, we derive the likelihood function for the independent random order statistic whose underlying lifetime distribution is a two parameter Weibull form. For this purpose we first discuss the order statistic which represent a characteristic feature of most life and fatigue tests that they give rise to ordered observations. And, we describe the properties of the underlying Weibull model. The derived likelihood function is essential for establishing the statistical life test plans in the case of Weibull distribution using a likelihood ratio method.
Keywords